Research on the chiral phase transition and hadron properties in QCD at finite temperature and density

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1. Analysis based on the vector manifestation (VM)I proposed the VM, in which the π and p meson becomes the chiral partner near the chiral phase transition point in hot and/or dense QCD. I performed the following analyses to test the VM experimentally.(1) I showed that the model based on the VM reproduces the mass of newly found D meson.(2) Based on the VM, I studied the dilepton spectrum including the effect of violation of vector dominance. I showed that the predicted spectrum is smaller than the one by the model with the vector dominance.2. Construction of new effective field theory (EFT) including π, p and a_1 mesonsI constructed a new EFT which includes the a_1 meson in addition to π and p mesons. I showed that both masses of p and a_1become light near the chiral phase transition point.3. Proposal of a way for including systematic corrections in an AdS/QCD modelI proposed a way for including systematic corrections in a AdS/QCD mode. I showed that the prediction well reproduces the experiment.4. Analysis on the radiative decays of φ mesonIt is needed to clarify properties of scalar mesons in true-life QCD to construct a new effective model with scalar mesons near the chiral phase transition point. I made an analysis on the φ radiative decays, and showed that the prediction of our model is better than other models.5. Analysis on the chiral phase transition in large flavor QCDI performed an analysis of the large flavor QCD using the Schwinger-Dyson equation and the Bethe-Salpeter equation. I first showed that the mass difference between π^+ and π^0 in real-life QCD. Then, I showed that the mass difference is increased near the chiral phase transition point of large flavor QCD.